Fuzzy Hyper Pseudo BCK-Ideals of Hyper Pseudo BCK-Algebras

Authors

  • T. Koochakpoor

DOI:

https://doi.org/10.47013/15.3.1

Keywords:

Hyper pseudo BCK-algebra, fuzzy hyper pseudo BCK-ideal, hyper pseudo BCK-ideal, strong fuzzy hyper pseudo BCK-ideal.

Abstract

In this paper, by considering notion of fuzzy set, we define the 6 types of fuzzy hyper pseudo BCK-ideals denoted by, F1, F2, ..., F6 and strong fuzzy hyper pseudo BCK-ideal on hyper pseudo BCK-algebras. Then investigate their numerous properties. Also describe the relationship between fuzzy hyper pseudo BCK-ideals and hyper pseudo BCK-ideals of hyper pseudo BCK-algebras. Also will obtained the relationship between the fuzzy hyper pseudo BCK-ideals. This relationship is shown in a lattice diagram.

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 381 - 398

Author Biography

T. Koochakpoor

Department of Mathematics, Payame Noor University, Tehran, Iran

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Published

2023-01-14

How to Cite

Koochakpoor, T. (2023). Fuzzy Hyper Pseudo BCK-Ideals of Hyper Pseudo BCK-Algebras. Jordan Journal of Mathematics and Statistics, 15(3), 381–398. https://doi.org/10.47013/15.3.1

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